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Finding the Third Proportional to 662,735,025 and 1,441,826,739

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Solution

The third proportional to 662,735,025 and 1,441,826,739 is: 3,136,795,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,735,025 : 1,441,826,739 = 1,441,826,739 : x
  2. Step 2: Convert to fraction form
    662,735,025/1,441,826,739 = 1,441,826,739/x
  3. Step 3: Cross multiply
    662,735,025x = 1,441,826,739 × 1,441,826,739
  4. Step 4: Simplify right side
    662,735,025x = 2,078,864,345,295,374,080
  5. Step 5: Solve for x
    x = 2,078,864,345,295,374,080/662,735,025
  6. Step 6: Final answer
    x = 3,136,795,652.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.